Elementary AlgebraAmerican book Company, 1917 - 503 páginas |
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Página 8
... added to equal numbers , the resulting numbers are equal . ( b ) If the same number is subtracted from equal numbers , the result- ing numbers are equal . ( c ) If equal numbers are multiplied by the same number , the resulting numbers ...
... added to equal numbers , the resulting numbers are equal . ( b ) If the same number is subtracted from equal numbers , the result- ing numbers are equal . ( c ) If equal numbers are multiplied by the same number , the resulting numbers ...
Página 9
... adding 2 to the product . 8. Indicate that two times some unknown number x in- creased by 5 is equal to 17 . 9. Find the unknown number in example 8 : ( a ) by arith- metic ; ( b ) by algebra . 10. How can two unknown numbers be ...
... adding 2 to the product . 8. Indicate that two times some unknown number x in- creased by 5 is equal to 17 . 9. Find the unknown number in example 8 : ( a ) by arith- metic ; ( b ) by algebra . 10. How can two unknown numbers be ...
Página 10
... adding 14 to the product . Find the number . SOLUTION . Let x = the required number . Hence 5x + 2 = the result of multiplying the number by 5 , and adding 2 to the result , and 3x + 14 : Then 5x + 2 = ( Let the student complete the ...
... adding 14 to the product . Find the number . SOLUTION . Let x = the required number . Hence 5x + 2 = the result of multiplying the number by 5 , and adding 2 to the result , and 3x + 14 : Then 5x + 2 = ( Let the student complete the ...
Página 18
... added in any order ; thus , 3 + 22 + 3. We shall assume that the order of adding algebraic numbers may be changed in the same way ; thus -3 + 5 = 5 + ( - 3 ) . This suggests that we may add a negative number by counting to the left on ...
... added in any order ; thus , 3 + 22 + 3. We shall assume that the order of adding algebraic numbers may be changed in the same way ; thus -3 + 5 = 5 + ( - 3 ) . This suggests that we may add a negative number by counting to the left on ...
Página 19
... adding a posi- tive number we count to the right ; in adding a negative num- ber we count to the left . Any number of negative units added to the same number of positive units gives zero . If , in adding a positive and a negative number ...
... adding a posi- tive number we count to the right ; in adding a negative num- ber we count to the left . Any number of negative units added to the same number of positive units gives zero . If , in adding a positive and a negative number ...
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Términos y frases comunes
a²b a²b² a²x² ab² added algebraic expression arithmetical arithmetical means ax² binomial CHECK common factor completing the square decimal places degree denominator difference divided dividend division equa equal example Factor the following feet figures Find the numbers Find the square Find the value following equations formula graph HINT indicated integral Let the student logarithm mantissa miles an hour minuend monomial Multiply negative numbers number of dollars ORAL EXERCISE p-form parenthesis polynomial problem proportion quadratic equation quotient radicand rational rectangle remainder result rule sides signed numbers Simplify SOLUTION Solve the following square inches square root Substituting Subtract tion triangle trinomial type form unknown number Va² write x²y x²y² zero
Pasajes populares
Página 225 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.
Página 281 - Then divide the first term of the remainder by the first term of the divisor...
Página 222 - In any proportion, the product of the means is equal to the product of the extremes.
Página 231 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 226 - If four quantities are in proportion, they are in proportion by inversion; that is, the second term is to the first as the fourth is to the third.
Página 454 - The logarithm of a number is the exponent of the power to which a fixed number, called the base, must be raised in order to produce the given number.
Página 97 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Página 226 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.
Página 457 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 83 - The product of two binomials having a common term equals the square of the common term plus the product of the common term by the sum of the other terms, plus the product of the other terms.